What does the Reynolds transport theorem say?

Reynolds transport theorem states that the rate of change of an extensive property N, for the system is equal to the time rate of change of N within the control volume and the net rate of flux of the property N through the control surface.

What is material derivative in fluid mechanics?

The material derivative computes the time rate of change of any quantity such as temperature or velocity (which gives acceleration) for a portion of a material moving with a velocity, v . If the material is a fluid, then the movement is simply the flow field.

Why a surface integral is used to represent flow of B into and out of the control volume?

Why a surface integral is used to represent flow of B into and out of the control volume? Explanation: Fluid can enter into or exit from the control volume through the control surface. If this flow velocity is integrated along the control surfaces, we can get the net inflow or outflow of fluid to the control volume.

What is the physical principle behind momentum equation?

1. What is the physical principle behind momentum equation? Explanation: Momentum equation is derived using Newton’s second law of motion. This gives a relationship between force and acceleration.

What is the Reynolds transport theorem and why is it important?

Abstract— The Reynolds’ transport theorem deals with the rate of change of an extensive property, N, of a fluid in a control volume. Its purpose is to provide a link between the concepts associated to the control volumesand those associated to systems.

What is B in Reynolds Transport Theorem?

in which n(x,t) is the outward-pointing unit normal vector, x is a point in the region and is the variable of integration, dV and dA are volume and surface elements at x, and vb(x,t) is the velocity of the area element (not the flow velocity).

What is Reynolds stress Mcq?

This set of Computational Fluid Dynamics Multiple Choice Questions & Answers (MCQs) focuses on “Turbulence Modelling – Turbulent Flows Characteristics”. The high fluctuation in the turbulent flows creates highly varying velocities. These velocities create additional stresses called Reynolds stress.